GCF of 7640/402, 3032/4106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7640/402, 3032/4106 i.e 8/825306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7640/402, 3032/4106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7640/402,3032/4106?
Given fractions are 7640/402,3032/4106
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7640/402,3032/4106, numerators are 7640,3032
Denominators are 402,4106
The GCF of 7640,3032 is 8 .
LCM of 402,4106 is 825306.
The greatest common factor of 7640/402,3032/4106 = [GCF of 7640,3032]/[LCM of 402,4106]= 8/825306
Therefore, the GCF of 7640/402,3032/4106 is 8/825306.
To find the highest common factor of 7640,3032, we have to find the factors of both numbers and list the highest common factor.
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032
The HCF of 7640,3032 is 8.
Lets's calculate GCF of 7640,3032
| 2 | 7640, 3032 |
| 2 | 3820, 1516 |
| 2 | 1910, 758 |
| 955, 379 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7640,3032 By Matching Biggest Common Factor Method
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Now, list down the factors of 3032
:1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 7640,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 7640,3032 is 8.
Lets's calculate LCM of 402,4106
| 2 | 402, 4106 |
| 201, 2053 |
∴ So the LCM of the given numbers is 2 x 201 x 2053 = 825306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/825306
Therefore, the GCF of Fractions 7640/402,3032/4106 is 8/825306
Least Common Multiple of 402,4106 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 402,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,4106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,4106) x common factors =2 x 1 = 2
LCM(402,4106) = ( 402 × 4106 ) / 2
LCM(402,4106) = 1650612 / 2
LCM(402,4106) = 825306
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FAQs on GCF of Fractions of 7640/402, 3032/4106
1. What is the HCF of 7640,3032?
The HCF of 7640,3032 is 8
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7640/402, 3032/4106?
Answer: GCF of Numerators as per given numbers 7640/402, 3032/4106 is
GCF of Numerators i.e. for 7640,3032 is 8
LCM of denominators i.e. for 402,4106 is 825306.
Thus, GCF of Fractions is 8/825306.Finally, GCF of Fractions for 7640/402, 3032/4106 is 8/825306.